With Steven Gerrard suspended and Frank Lampard an injury worry, Roy Hodgson will have to pick a new skipper to lead the Three Lions.
The Manchester City goalkeeper has been touted as a potential replacement, but feels that Rooney is next in line for the armband.
“I’ve not thought about it at all. How the captain is chosen is the manager’s decision. I’ve got a big responsibility to keep my place in the team for club and country,” Hart told reporters, published by Sky Sports.
“If I do get the nod, I’ll try and give as much as I can in terms of helping the team. But I think it’s between Wayne Rooney and Wayne Rooney if we are going to go on experience and how captains have been chosen in the past.
“It’s nice people say nice things but things are easily said. In goal, you can be the worst in the world two days later if you are on television and something mad happens in the game.
“You’ve got to try and take the rough with the smooth. It was a special honour for some special people to say some nice things but we move on. You’ve got to remain level-headed,” he concluded.